Dheena, P.;Jenila, C.

  • Received : 2011.12.23
  • Published : 2013.10.31


In this paper we introduce the notion of NI near-rings similar to the notion introduced in rings. We give topological properties of collection of strongly prime ideals in NI near-rings. We have shown that if N is a NI and weakly pm near-ring, then $Max(N)$ is a compact Hausdorff space. We have also shown that if N is a NI near-ring, then for every $a{\in}N$, $cl(D(a))=V(N^*(N)_a)=Supp(a)=SSpec(N){\setminus}int\;V(a)$.


NI near-ring;strongly prime ideal;weakly pm near-ring;symmetric near-ring


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